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On Sufficient Conditions in Nonsmooth Optimization

Mathematics of Operations Research, 1982
Second-order conditions are given which are sufficient for a point to be a local minimizer for certain nonlinear programming problems defined on Banach spaces. The functions involved in the problems are not required to be smooth or convex; indeed, they are required only to satisfy certain conditions which are weak enough to be satisfied by all locally
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Necessary Optimality Conditions in Multiobjective Dynamic Optimization

SIAM Journal on Control and Optimization, 2004
Let \(F: [a,b] \times \mathbb{R}^n \multimap \mathbb{R}^n\) be a closed-valued multimap, measurable in the first argument and sub-Lipschitzean in the second one; \(S \subset \mathbb{R}^n \times \mathbb{R}^n\) a nonempty closed set and \(f: \mathbb{R}^n \times \mathbb{R}^n \rightarrow \mathbb{R}^m\) a map. Extending the result of \textit{A.
Saïd Bellaassali, Abderrahim Jourani
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Condition Number Theorems in Optimization

SIAM Journal on Optimization, 2003
Summary: Condition numbers for optimization problems in Banach spaces are considered. Lower and upper estimates of the (suitably defined) distance from ill-conditioning are obtained in terms of the reciprocal of condition numbers. An approach is presented based on the metric regularity of the inverse to the arg min map.
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Necessary Conditions in Nonsmooth Optimization

Mathematics of Operations Research, 1984
The paper contains four theorems concerning first order necessary conditions for a minimum in nonsmooth optimization problems in Banach spaces: a Lagrange multiplier rule for a mathematical programming problem in which an infinite dimensional equality constraint is included in the constraints, a general maximum principle for nonsmooth optimal control ...
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Network optimality conditions Network optimality conditions

2023
Osmolovskii, Nikolai P   +2 more
openaire   +1 more source

Optimality Conditions

2000
J. Frédéric Bonnans, Alexander Shapiro
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On sequential optimality conditions for smooth constrained optimization

Optimization, 2011
Roberto Andreani   +2 more
exaly  

Optimality conditions

2003
Alexander Rubinov, Xiaoqi Yang
openaire   +2 more sources

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